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Soluble Salts in Water KI and K 2 CrO 4 : –Potassium iodide and potassium chromate are water-soluble. AgI and PbCrO 4 –Silver iodide and lead chromate and are sparingly soluble: K sp (AgI)=8.5 X 10 -17 K sp (PbCrO 4 )=1.8 X 10 -14
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Common Ion Effect Silver iodide AgI(s) Ag + + I - K sp =[Ag + ][I - ] = 8.5 X 10 -17 [Ag + ] = [I - ] = solubility = What if the solution were 0.1M in Ag + ions? What if the solution were 0.1M in I - ions?
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Common Ion Effect
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Lead chromate PbCrO 4 (s) Pb 2+ + CrO 4 2- K sp =[Pb 2+ ][CrO 4 2- ] =1.8 X 10 -14 Let x = solubility of [Pb 2+ ] = [CrO 4 2- ] What if [Pb 2+ ] = 0.1M? What if [CrO 4 2- ] = 0.1M? What if [Pb 2+ ]=[CrO 4 2- ] = 0.1M?
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Common Ion Effect Calcium fluoride CaF 2 (s) Ca 2+ (aq) + 2F - (aq) K sp =[Ca 2+ ][2F - ] 2 = 1.7 X 10 -10 Solubility = x = [Ca 2+ ] = 5.6 X 10 -4 K sp =[Ca 2+ ] [2F - ] 2 = (x)(2x) 2 = 4x 3 = 1.7 X 10 -10
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Selective Precipitation A solution where [Ba 2+ ] = [Ca 2+ ] = 0.1M –Add sulfate ions: K sp (BaSO 4 ) = 10 -10 ; K sp (CaSO 4 ) = 10 -5 Sparingly soluble BaSO 4 and CaSO 4 precipitate. Which salt precipitates first? How much of the first is left in solution when the second begins to precipitate?
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Electrolytes Conductivity in water is due to hydrated ions moving about. –Water and aqueous sugar solutions –Acetic acid and vinegar –Aqueous salt solutions Experiments –Electrolytes –Nonelectrolytes
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Autoionization of Water H 2 O(liq) + H 2 O(liq) H 3 O + + OH -
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Autoionization of Water H 2 O(liq) + H 2 O(liq) H 3 O + + OH -
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Acid-Base Theories Arrhenius HCl H + + Cl - Could not explain alkalinity of aqueous ammonia Brönsted NH 3 + H 2 O NH 4 + + OH - HCl + H 2 O H 3 O + + Cl - Lewis NH 3 + H + NH 4 +
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pH Scale Measures acidity of Aqueous Solutions pH = -log[H 3 O + ] by definition pK w = pH + pOH because….K w =[H 3 O + ][OH - ] For neutral solutions… [H 3 O + ] = [OH - ] = 10 -7 M pH = -log[H 3 O + ] pH = 7
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pH of Aqueous Solutions If [H 3 O + ] = 5.25 x 10 -3 M –Then pH = -log 5.25 x 10 -3 = 2.28 If pH = 5.25 –Then [H 3 O + ] = 10 -5.25 = 5.6 x 10 -6 M And [OH - ] = Kw/[H 3 O + ] = 1.78 x 10 -9 M So pOH = 8.75 And pH = 14 - 8.75 = 5.25
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pH of Aqueous Solutions When pH is low…… [H 3 O + ] > [OH - ] When pH is neutral….. [H 3 O + ] = [OH - ] When pH is high….. [H 3 O + ] < [OH - ]
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Dissociation of HA in Water HA + H 2 O H 3 O + + A - For an acid of the general form HA
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Indicators HInd + H 2 O H 3 O + + Ind- Indicator equation
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Oxides and Hydrides Metallic oxides Na 2 O + H 2 O 2NaOH CaO + H 2 O Ca(OH) 2 Nonmetallic oxides SO 2 + H 2 O H 2 SO 3 CO 2 + H 2 O H 2 CO 3 Metal Hydrides NaH + H 2 O NaOH + H 2
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For Strong Acids Aqueous hydrochloric acid solutions HCl + H 2 O H 3 O + + Cl - 0.1M HCl = 0.1M H 3 O + –Presumption is complete dissociation –pH = 1 Add 10 mL to 990 mL of H 2 O –pH change is… huge!
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For Weak Acids Aqueous acetic acid solutions HOAc + H 2 O H 3 O + + OAc - k a =1.75 X 10 -5 0.1M HOAc << 0.1M H 3 O+ Incomplete dissociation: pH = 2.87 Aqueous HF HF + H 2 O H 3 O + + F - k a =7.2 X 10 -4 and pH = ?
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For Very Weak Acids Aqueous hydrogen cyanide solutions HCN + H 2 O H 3 O + + CN - 0.1M HCN <<< 0.1M H 3 O + K a = 4.0 X 10 -10 and pH = 5.2 0.1M NaCNpH = ? 0.1M NaFpH = ? 0.1M NaOAcpH = ?
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0.10M Solutions of HA K a pK a pH HCl˜10 7 -7 1 HOAc˜10 -5 5 3 HCN˜10 -11 11 6 H 2 O˜10 -14 14 7 0.10M Solutions of B K b pK b pOH NH 3 ˜10 -5 5 3
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Solvolysis/Hydrolysis For a weak acid HA….. – the anion is strong and reacts with the solvent in a proton-transfer reaction: A - + H 2 O HA + OH - For a weak base B….. – the cation ion is strong and reacts with the solvent in a proton-transfer reaction: BH + + H 2 O B + H 3 O +
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Hydrolysis Alkaline solutions: NaOAc, NaF, NaCN Acidic solutions: NH 4 Cl Neutral solutions: NH 4 OAc NaCN and Na 2 CO 3 solutions? AlCl 3 and Fe(NO 3 ) 3 solutions? NH 4 CN solutions?
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pH of 0.10M Aqueous NaOAc NaOAc(s) Na + (aq) + OAc - (aq) OAc- + H 2 O HOAc + OH - pOH = 5 and pH =14 - 5 = 9
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Buffers Solutions of a weak acid and its conjugate base: HA + H 2 O H 3 O + + A - Solutions of a weak base and its conjugate acid: B + H 2 O BH + + OH -
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Buffers Buffers act across an [A-]/[HA] range of 10/1 to 1/10 … or 2 pH units:
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Buffers Aqueous acetic acid solutions HOAc + H 2 O H 3 O + + OAc - For 0.1M HOAc: pH = 2.87 For HOAc/NaOAc buffer: pH = pKa = 4.76 PROBLEM: Add 50mL 0.10M HCl to 950 mL H 2 O containing 0.050 mole HOAc and 0.050 mole NaOAc. –Buffer soaks up the acid –pH change is relatively small.
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Polyprotic Acids Carbonic acid (H 2 CO 3 ) K a H 2 CO 3 + H 2 O H 3 O + + HCO 3 - 10 -7 HCO 3 - + H 2 O H 3 O + + CO 3 2- 10 -11 –Acidity is essentially supplied by K a (1) –Blood is buffered by [CO 2 ]/[HCO 3 - ]
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Polyprotic Acids –Sulfuric acid (H 2 SO 4 )pK a H 2 SO 4 + H 2 O H 3 O + + HSO 4 - -5HSO 4 - + H 2 O H 3 O + + SO 4 2- 2 –Phosphoric acid (H 3 PO 4 ) pK a H 3 PO 4 + H 2 O H 3 O + + H 2 PO 4 - 2.1 H 2 PO 4 - + H 2 O H 3 O + + HPO 4 2- 7.2 HPO 4 - + H 2 O H 3 O + + PO 4 3- 12.3 Note:K values are lower by several orders of magnitude due to increasing negative charge.
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Titration curves
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Finding K a for Weak Acids –For a monoprotic acid, at the mid-point, [HA] = [A-] pH = pKa
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ACID/BASE ISSUES Acid rain and coal mine run-off: –Kentucky, West Virginia, Indiana, Illinois, Minnesota… many places. Industrial acid/base run-off in rivers: –Raritan River is one of many. Acid rain and steel manufacture Acid: –Adirondks and Great Smokys –Illinois and Indiana mills
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ACID/BASE ISSUES Corrosion –N and S oxides –Acidic oxides Particulates in the air: –Donora, Pennsylvania –Dupont “nylon” in downtown Chicago
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Lessons from History The disadvantage of men not knowing the past is that they do not know the present. - G. K. Chesterton
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Complex Ion Formation 1)AgI(s) Ag + (aq) + I - (aq) K sp = [Ag + ][I - ] = 10 -16 2)Ag + (aq) + 2NH 3 (aq) Ag(NH 3 ) 2 + (aq) 3) AgI(s) + 2NH 3 (aq) Ag(NH 3 ) 2 + (aq) + I - (aq)
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Complex ion formation AgCl ppt dissolves in aq. NH 3 AgBr ppt dissolves in aq. NH 3 but with difficulty AgI ppt does not dissolve in aq. NH 3 but does dissolve in aq. CN -
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Dissolving Precipitates AgCl –Add ammonia Forms soluble Ag(NH 3 ) + complex AgBr –Add lots of ammonia Forms soluble Ag(NH 3 ) + complex AgI –Add cyanide ion Forms soluble Ag(CN) 2 - complex
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